A crucial observation about rate models—even the one put forward by Wilson and Cowan [1]}, and given by Eqs. (REF )–(REF )—is that they are asymptotically linear, so their eventual NEP can be at most quadratic. Then in principle, global stability rules out some coupling configurations. Obviously, this requirement can be relaxed if the rate model fulfills the node dynamics of a neural network, for what matters in that case is the network's global stability.
